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Finding the Fourth Proportional to 257,030.40, 354,453.12 and 200,421.12

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Solution

The fourth proportional to 257,030.40, 354,453.12 and 200,421.12 is: 276,387.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,030.40 : 354,453.12 = 200,421.12 : x
  2. Step 2: Convert to fraction form
    257,030.40/354,453.12 = 200,421.12/x
  3. Step 3: Cross multiply
    257,030.40x = 354,453.12 × 200,421.12
  4. Step 4: Simplify right side
    257,030.40x = 71,039,891,297.89
  5. Step 5: Solve for x
    x = 71,039,891,297.89/257,030.40
  6. Step 6: Final answer
    x = 276,387.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.